It depends on what it is. If it's an action movie or even most horror movies, sure. It's obviously fake.
If it's one of those "real stores of the ER" types of shows, even when most is blurred out, probably not. I'm not squeamish around blood and guts, but something about a living being suffering turns my stomach. Actually, a realistic movie with very realistic screams or similar sounds makes me sick more than the actual sight of fake blood and organs. Saving Private Ryan had its moments (the medic scene and the knife scene).